Find the measures of the complement and the supplement of an angle with a measure of 60 degrees.
The complement of an angle with a measure of 60 degrees is equal to 90 - 60 = 30 degrees.
The supplement of an angle with a measure of 60 degrees is equal to 180 - 60 = 120 degrees.
To find the measures of the complement and the supplement of an angle with a measure of 60 degrees, we will use the following formulas:
1. Complement of an angle = 90 degrees - measure of the angle
2. Supplement of an angle = 180 degrees - measure of the angle
1. Complement of the angle:
Complement = 90 degrees - measure of the angle
Complement = 90 degrees - 60 degrees
Complement = 30 degrees
So, the complement of an angle with a measure of 60 degrees is 30 degrees.
2. Supplement of the angle:
Supplement = 180 degrees - measure of the angle
Supplement = 180 degrees - 60 degrees
Supplement = 120 degrees
Therefore, the supplement of an angle with a measure of 60 degrees is 120 degrees.